Labyrinth of Thought : A History of Set Theory and Its Role in Modern Mathematics

Labyrinth of Thought discusses the emergence and development of set theory and the set-theoretic approach to mathematics during the period 1850-1940. Rather than focusing on the pivotal figure of Georg Cantor, it analyzes his work and the emergence of transfinite set theory within the broader contex...

Deskribapen osoa

Gorde:
Xehetasun bibliografikoak
Egile nagusia: Ferreirós, José, 1964-
Formatua: Livre numérique
Hizkuntza:Anglais
Argitaratua: Basel : Birkhäuser Basel 2007.
Cham : Springer Nature
Gaiak:
Sarrera elektronikoa:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Oharra: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Version numérique de la seconde édition
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Labyrinth of thought, a history of set theory and its role in modern mathematics, José Ferreirós, 2nd revised edition, Basel, Birkhäuser, 2007, 1 vol. (XXV-466 p.), 3-7643-8349-6
• Labyrinth of Thought, Texte imprimé, 9783764394172
Aurkibidea:
  • The Emergence of Sets within Mathematics
  • Institutional and Intellectual Contexts in German Mathematics, 1800-1870
  • A New Fundamental Notion: Riemann's Manifolds
  • Dedekind and the Set-theoretical Approach to Algebra
  • The Real Number System
  • Origins of the Theory of Point-Sets
  • Entering the Labyrinth-Toward Abstract Set Theory
  • The Notion of Cardinality and the Continuum Hypothesis
  • Sets and Maps as a Foundation for Mathematics
  • The Transfinite Ordinals and Cantor's Mature Theory
  • In Search of an Axiom System
  • Diffusion, Crisis, and Bifurcation: 1890 to 1914
  • Logic and Type Theory in the Interwar Period
  • Consolidation of Axiomatic Set Theory.